Details

sample45.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
16.0ms	230×	body	80	nan

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

30.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series612.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
198.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms	(* 3.0 (* v v))

simplify88.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	809	1605
1	3621	1516
2	5001	1513

prune359.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))
0.2b	(* (* v v) (* v v))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

123×	`pow1`
39×	`add-sqr-sqrt`
36×	`pow-prod-up`
27×	`pow-prod-down`
26×	`add-exp-log` `associate-l` `add-cbrt-cube`
22×	`times-frac` `pow-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`sqrt-prod`
18×	`pow-plus`
13×	`pow2` `prod-exp` `cbrt-unprod`
8×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
4×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`frac-times` `associate-*r/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 149

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))
15.0ms	(* (* v v) (* v v))

series331.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
195.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))
30.0ms	(* (* v v) (* v v))

simplify54.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	554	901
1	1977	828
2	5002	818

prune316.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.0b	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
0.1b	(* 3.0 (* v v))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-l`
20×	`times-frac`
19×	`sqrt-prod`
14×	`pow1` `add-exp-log` `log-pow` `add-cbrt-cube`
12×	`exp-prod`
11×	`associate-r`
9×	`log-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sqrt-div` `*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `associate-*l/` `flip--` `div-inv`

Counts

4 → 107

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
30.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
5.0ms	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* 3.0 (* v v))

series380.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
195.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
79.0ms	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
28.0ms	(* 3.0 (* v v))

simplify49.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	520	1058
1	1835	949
2	5001	937

prune316.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

559.0ms	7997×	body	80	nan
553.0ms	8000×	body	80	valid